208320 has 112 divisors (see below), whose sum is σ = 780288. Its totient is φ = 46080.

The previous prime is 208319. The next prime is 208333. The reversal of 208320 is 23802.

208320 = T₄₉ + T₅₀ + ... + T₁₁₀.

208320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 208320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6705 + ... + 6735.

2²⁰⁸³²⁰ is an apocalyptic number.

208320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144).

208320 is an abundant number, since it is smaller than the sum of its proper divisors (571968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208320 is a wasteful number, since it uses less digits than its factorization.

208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 208320 is about 456.4208584191. The cubic root of 208320 is about 59.2802903747.

Adding to 208320 its sum of digits (15), we get a triangular number (208335 = T₆₄₅).

It can be divided in two parts, 208 and 320, that added together give a triangular number (528 = T₃₂).

The spelling of 208320 in words is "two hundred eight thousand, three hundred twenty".